Infinity people always die. Even if you don't make a decision.
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I actually would like to choose the track where the number of people increases by one (so 1, 2, 3, 4...) and then the train will kill -1/12 people
PS Yes, I know this sum result is problematic, it's only a joke
Pull it -1/12 of the way, causing the infinity to converge to a real number.
I quickly carry the people to the other side so they all can get run over.
build new tracks to make the trolley run on (possibly in circles).
Slip the switch, like always
The existence of the bottom track would imply an infinite density of people, which would create a black hole and kill everyone involved, regardless of the trolley's presence
Do nothing - maximum destruction
Is it possible to get this thing to skid on both rails? You'll only be killing an infinite number of people anyway.
That doesn't kill any more people than if you just stay on the real number track.
I have a tangential question I have been wanted an explanation for:
If there are infinite universes, would there be infinite earth's?
I remember (an) answer is infinite universes doesn't necessarily mean infinite earth's. A cool analogy of a CD rack was used when I read it, but I can't find it. Does anyone else have an explanation and/or analogy for this?
Weirdly good timing, here's a Kurzgesagt video on that exact question! Uploaded literally yesterday (or yester-er-day depending on time zones)
Since there's an infinite number of people to kill in either case I can just do nothing, and thus by inaction most of those infinite people will have more than enough time for someone else to rescue them. Maybe the State, that's what they're there for.
Probably pull the leaver cuz then I can jump in front of the train.